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Finding the Fourth Proportional to 33,146.64, 45,763.38 and 20,578.68

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Solution

The fourth proportional to 33,146.64, 45,763.38 and 20,578.68 is: 28,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,146.64 : 45,763.38 = 20,578.68 : x
  2. Step 2: Convert to fraction form
    33,146.64/45,763.38 = 20,578.68/x
  3. Step 3: Cross multiply
    33,146.64x = 45,763.38 × 20,578.68
  4. Step 4: Simplify right side
    33,146.64x = 941,749,952.74
  5. Step 5: Solve for x
    x = 941,749,952.74/33,146.64
  6. Step 6: Final answer
    x = 28,411.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.